Question
If $x^2, 4$ and $9$ are in continued proportion, find $x.$
✓
Answer
Given, $x^2, 4$ and $9$ are in continued proportion.
$\frac{x^2}{4}=\frac{4}{9} $
$ \Rightarrow 9 x^2=16 $
$ \Rightarrow x^2=\frac{16}{9} $
$ \Rightarrow x=\frac{4}{3}$
$\frac{x^2}{4}=\frac{4}{9} $
$ \Rightarrow 9 x^2=16 $
$ \Rightarrow x^2=\frac{16}{9} $
$ \Rightarrow x=\frac{4}{3}$
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